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Finding the Fourth Proportional to 53,231.50, 73,466.76 and 34,364.98

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Solution

The fourth proportional to 53,231.50, 73,466.76 and 34,364.98 is: 47,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,231.50 : 73,466.76 = 34,364.98 : x
  2. Step 2: Convert to fraction form
    53,231.50/73,466.76 = 34,364.98/x
  3. Step 3: Cross multiply
    53,231.50x = 73,466.76 × 34,364.98
  4. Step 4: Simplify right side
    53,231.50x = 2,524,683,738.06
  5. Step 5: Solve for x
    x = 2,524,683,738.06/53,231.50
  6. Step 6: Final answer
    x = 47,428.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.